document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=712574>Question 712574</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A machine could wrap candies 100 times faster than a person could. Together they can wrap a crate full of candies in 5 minutes.  How long would it take each of them working alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #438139 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=438139\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A machine could wrap candies 100 times faster than a person could.<BR>\n" );
document.write( " Together they can wrap a crate full of candies in 5 minutes.<BR>\n" );
document.write( " How long would it take each of them working alone?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let the completed job = 1. (a full crate)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let t = time required by the machine to do the job (in minutes)<BR>\n" );
document.write( "then<BR>\n" );
document.write( "100t = time required by the person alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a shared work equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Ft ALIGN=MIDDLE  ALT=\"5%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%28100t%29 ALIGN=MIDDLE  ALT=\"5%2F%28100t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 100t, results:<BR>\n" );
document.write( "100(5) + 5 = 100t<BR>\n" );
document.write( "505 = 100t<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=505%2F100 ALIGN=MIDDLE  ALT=\"505%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 5.05 minutes machine working alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "5.05 * 100 = 505 minutes, person working alone<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );